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Finding the Fourth Proportional to 157,174.58, 216,487.71 and 120,806.48

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Solution

The fourth proportional to 157,174.58, 216,487.71 and 120,806.48 is: 166,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,174.58 : 216,487.71 = 120,806.48 : x
  2. Step 2: Convert to fraction form
    157,174.58/216,487.71 = 120,806.48/x
  3. Step 3: Cross multiply
    157,174.58x = 216,487.71 × 120,806.48
  4. Step 4: Simplify right side
    157,174.58x = 26,153,118,208.36
  5. Step 5: Solve for x
    x = 26,153,118,208.36/157,174.58
  6. Step 6: Final answer
    x = 166,395.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.